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What is Circuit Parameters Of Rlc Circuit?

EXAMPLE

A choke coil is connected in series with a 20 μF capacitor. With a constant supply voltage of 200 V the circuit takes its maximum current of 50 A when the supply frequency is 50 Hz. Calculate (a) the resistance and inductance of the choke coil; (6) the voltage across the capacitor.

SOLUTION:

The current is a maximum at resonant frequency.

f0 = 50 Hz, V= 200 volts, I= 50 A, C = 20 x 10−6 F

(a) At resonance

I0 = V/R

R = V/I0 = 200/50 = 4?

f0 = 1/2π√LC

f02 = 1/4π2LC

L = 1/(4π2f02C) = 1/(4π2×502×20×10–6) = 0.507 H

(b) Reactance of the capacitor

XC0 = 1/2πf0C = 1/(2π×50×20×10–6) = 159.2?

Voltage across the capacitor

= XC0I0 = 159.2 x 50 = 7960 V

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